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Finding the Fourth Proportional to 1,783.91, 2,462.06 and 998.11

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Solution

The fourth proportional to 1,783.91, 2,462.06 and 998.11 is: 1,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.91 : 2,462.06 = 998.11 : x
  2. Step 2: Convert to fraction form
    1,783.91/2,462.06 = 998.11/x
  3. Step 3: Cross multiply
    1,783.91x = 2,462.06 × 998.11
  4. Step 4: Simplify right side
    1,783.91x = 2,457,406.71
  5. Step 5: Solve for x
    x = 2,457,406.71/1,783.91
  6. Step 6: Final answer
    x = 1,377.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.